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Finding the Fourth Proportional to 15,197.97, 20,969.82 and 8,820.87

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Solution

The fourth proportional to 15,197.97, 20,969.82 and 8,820.87 is: 12,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.97 : 20,969.82 = 8,820.87 : x
  2. Step 2: Convert to fraction form
    15,197.97/20,969.82 = 8,820.87/x
  3. Step 3: Cross multiply
    15,197.97x = 20,969.82 × 8,820.87
  4. Step 4: Simplify right side
    15,197.97x = 184,972,056.14
  5. Step 5: Solve for x
    x = 184,972,056.14/15,197.97
  6. Step 6: Final answer
    x = 12,170.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.